Question

In: Economics

. A firm uses the inputs of fertilizer (sacks), labor and hothouses to produce roses. Suppose...

. A firm uses the inputs of fertilizer (sacks), labor and hothouses to produce roses. Suppose that when the quantity of labor and hothouses is fixed, the relationship between the quantity of fertilizer (F) used and the number of roses (TP) produced is given by the following table.

        F      TP           APF         MPF

        0        0

        10     1,100

        20     2,200

        30     4,800

        40     7,600

        50     9,800

        60   11,600

        70   12,200

        80   11,800

        90   11,000

       

  1. Is this a short run or long run production function? Explain,

  1. Derive the average and marginal product of fertilizer schedules.
  1. At what point is maximum production efficiency confronted? Explain.
  1. At what point is diminishing returns confronted? Explain.
  1. At what points do stages I, II and III of production begin and end? Explain.

Try to do all pls and thank you

Solutions

Expert Solution

Using,

and   

Quantity of fertilizer Total product(TP) Average Product(AP) Marginal Product(MP)
0 0 0 0
10 1100 110 1100
20 2200 110 1100
30 4800 160 2600
40 7600 190 2800
50 9800 196 2200
60 11600 193.33 1800
70 12200 174.28 600
80 11800 147.50 -400
90 11000 122.22 -800

When at least one fixed resource is there to firm, than this is case of short-run.

Since, the quantity of labor and hothouses is fixed , than this is the case of short-run production function.

For all other parts do refer to this graph,(Using Law Of Variable Proportions)

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